Pith Number

pith:WSI4UUGG

pith:2019:WSI4UUGGVRCZ34GVHW4562ZPKU

not attested not anchored not stored refs pending

A hybrid Benders decomposition and bees algorithm matheuristic approach to transmission expansion planning considering energy storage

Andreas T. Ernst, Cameron A.G. MacRae, Melih Ozlen

arxiv:1903.01236 v2 · 2019-03-04 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WSI4UUGGVRCZ34GVHW4562ZPKU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:51:41.577149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b491ca50c6ac459df0d53db9df6b2f5520f9e0a01ed8cd0ab55f720811ebcde7

Aliases

arxiv: 1903.01236 · arxiv_version: 1903.01236v2 · doi: 10.48550/arxiv.1903.01236 · pith_short_12: WSI4UUGGVRCZ · pith_short_16: WSI4UUGGVRCZ34GV · pith_short_8: WSI4UUGG

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WSI4UUGGVRCZ34GVHW4562ZPKU \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b491ca50c6ac459df0d53db9df6b2f5520f9e0a01ed8cd0ab55f720811ebcde7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4eb33b54b2a5f5e1019edefc8bdbb155f4a25fd4a81608e270ad9b04bf92a6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-03-04T13:46:10Z",
    "title_canon_sha256": "4d32c6272d5f781c16d2e4b444a158d1f9fb996fcb7960a6c18343de180d5749"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.01236",
    "kind": "arxiv",
    "version": 2
  }
}